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4032314333012 = 2272973523130069
BaseRepresentation
bin111010101011011000101…
…010011101011101010100
3112021111002220210220100202
4322223120222131131110
51012031134432124022
612324230350200032
7564216336210410
oct72533052353524
915244086726322
104032314333012
111315105356309
125515a5ab3018
132333267b3844
14dd244ca7d40
156ed52d87592
hex3aad8a9d754

4032314333012 has 96 divisors (see below), whose sum is σ = 8473238457600. Its totient is φ = 1642527839232.

The previous prime is 4032314332999. The next prime is 4032314333029. The reversal of 4032314333012 is 2103334132304.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30936314 + ... + 31066382.

It is an arithmetic number, because the mean of its divisors is an integer number (88262900600).

Almost surely, 24032314333012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4032314333012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4236619228800).

4032314333012 is an abundant number, since it is smaller than the sum of its proper divisors (4440924124588).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4032314333012 is a wasteful number, since it uses less digits than its factorization.

4032314333012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130705 (or 130703 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 29.

Adding to 4032314333012 its reverse (2103334132304), we get a palindrome (6135648465316).

The spelling of 4032314333012 in words is "four trillion, thirty-two billion, three hundred fourteen million, three hundred thirty-three thousand, twelve".

Divisors: 1 2 4 7 14 28 29 58 73 116 146 203 292 406 511 523 812 1022 1046 2044 2092 2117 3661 4234 7322 8468 14644 14819 15167 29638 30334 38179 59276 60668 76358 106169 130069 152716 212338 260138 267253 424676 520276 534506 910483 1069012 1107191 1820966 2214382 3641932 3772001 4428764 7544002 7750337 9495037 15088004 15500674 18990074 26404007 31001348 37980148 52808014 66465259 68026087 105616028 132930518 136052174 265861036 272104348 275356073 476182609 550712146 952365218 1101424292 1904730436 1927492511 1972756523 3854985022 3945513046 4965904351 7709970044 7891026092 9931808702 13809295661 19863617404 27618591322 34761330457 55237182644 69522660914 139045321828 144011226179 288022452358 576044904716 1008078583253 2016157166506 4032314333012